Redknapp, who managed Defoe at West Ham, Portsmouth and Tottenham, was hopeful of a reunion with the England international at Loftus Road to help fire the club back to the Premier League.

But despite the setback, the 66-year-old is remaining hopeful a deal can be struck, although he admits it is unlikely.

"I'd love to have Jermain," Redknapp told London's Evening Standard. "We made an enquiry but at the moment he's not available.

"We're nowhere near anything. There is a small chance of it happening."

Defoe has made 54 appearances for England, scoring 19 goals, and was selected in Roy Hodgson's squad for next week's friendly against Scotland on Thursday.

QPR may now turn their attention elsewhere in their search for another striker, after allowing Loic Remy to join Premier League side Newcastle United on loan.

The club have already added Charlie Austin to their attacking ranks in the close-season but Redknapp is hunting another arrival before the transfer window closes on September 2.